Description
DOVER PUBLICATIONS Abstract Sets And Finite Ordinals An Introduction To The Study Of Set Theory by G. B. KEENE
This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical background. It combines an elementary level of treatment with the highest possible degree of logical rigor and precision._x000D_Starting with an explanation of all the basic logical terms and related operations, the text progresses through a stage-by-stage elaboration that proves the fundamental theorems of finite sets. It focuses on the Bernays theory of finite classes and finite sets, exploring the system's basis and development, including Stage I and Stage II theorems, the theory of finite ordinals, and the theory of finite classes and finite sets. This volume represents an excellent text for undergraduates studying intermediate or advanced logic as well as a fine reference for professional mathematicians._x000D_ _x000D_
PrefacePart I. The elements of set theory 1. The basic logical concepts 2. Operations on classesPart II. The Bernays theory of finite classes and finite sets Foreword Introduction 1. The basis of the system 2. The development of the system: stage I 3. The development of the system: stage II 4. The theory of finite ordinals 5. The theory of finite classes and finite setsReferencesIndex_x000D_